Abstract

We have investigated the effects of stimulated Brillouin scattering on a transparent, spherical bead with a radius of the order of 25 μm, the wavelength of the incident laser being ~1 μm. We have used a simple approach with intuitive appeal that displays the fundamental physics. We consider two cases: (a) neither the pump field nor the Stokes field is on a Mie resonance of the spherical transparent bead; (b) both the pump field and the Stokes field are resonant. We derive explicit expressions for the electromagnetic differential scattering cross sections, using the Lippman–Schwinger equation for scalar electromagnetic field equations. Mie theory is utilized to estimate the occurrence of Mie resonances as the size parameter x = 2πa/λ is varied. We give quantitative estimates of the fraction of droplets expected to shatter owing to resonant stimulated Brillouin scattering in a polydisperse distribution.

© 1989 Optical Society of America

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